FULL TEST – V

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FIITJEE

ALL INDIA TEST SERIES FULL TEST – V

JEE (Main)-2019

Time Allotted: 3 Hours Maximum Marks: 360 General Instructions: The test consists of total 90 questions.

Each subject (PCM) has 30 questions.

This question paper contains Three Parts.

Part-I is Physics, Part-II is Chemistry and Part-III is Mathematics.

Each part has only one section: Section-A.

Section-A (01 – 30, 31 – 60, 61 – 90) contains 90 multiple choice questions which have only one correct answer. Each question carries +4 marks for correct answer and –1 mark for wrong answer.

AITS-FT-V-PCM-JEE (Main)/19


2

PPhhyyssiiccss PART – I

SECTION – A (One Options Correct Type)

This section contains 30 multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE option is correct. 1. All the graph shown are intended to represent the same thermodynamic process. One of them

does it incorrectly. Pick it up:

(A)

Pressure atm

3Volume m

(B)

Pressure atm

Temperature(in Kelvin)

(C)

3Volume m

Temperature(in Kelvin)

(D)

molar heat capacity J/°C

3Volume m

2. A string of length 1 meter, mass per unit length 0.01 kg/m and under tension of 100 newton is

oscillating in first overtone. The frequency of oscillation is: (A) 20Hz (B) 50 Hz (C) 100 Hz (D) 200Hz

Space for Rough work



3

3. An arrangement of rods each of mass m and length l are welded (whereever required) to form a shape as shown. The moment of inertia about an axis passing through point C and perpendicular to the plane of figure is:

(A) 2ml (B) 232

ml

(C) 23ml (D) 292

ml

A B

C

D E

1m

1m 1m

1m 1m

1m 4. Two particle performs simple harmonic motion with time period of 6 second and 7 second

respectively. At t = 0 both were in their mean position and moving in the same direction. After what minimum non zero time they will be in phase again.

(A) 21 second (B) 42 second (C) 63 second (D) 84 second 5. Two balls are projected with speed 10 m/s at an angle of 37° with the horizontal from the surface

of two planets having ratio of mass 2 :1 and ratio of radii1: 2 . The ratio of time of flight is: (A) 4 :1 (B) 1:1 (C) 2 :1 (D) 1:8 6. Three identical spheres A, B and C of radius r and each carrying charge q are placed on the

vertices of an equilateral triangle of side r . The resultant force on B is F. Now an uncharged sphere is first touched with A and then with B and then removed. Now the resultant force on B is:

(A) F (B) 3 7

8F

(C) 3 74

F (D) 2 7

4F




4

7. If in place of two slits in young double slit experiment four identical slits were used with equal spacing. Assuming coherent waves form these slits. The number of minima between two consecutive maximas will be:

(A) 1 (B) 2 (C) 3 (D) 4 8. In an Air conditioner compartment of a train if a material of thermal conductivity K and thickness

10 cm is required to fullfill the purpose. To do so there is a need of two glass each of thickness 1 cm with air gap of 8 cm between them. If thermal conductivity of glass and air are 1 W/mk and 0.01 W/mk then the value of K is:

(A) 0.0125 /W mk (B) 0.05 /W mk (C) 0.255 /W mk (D) 0.33 /W mk 9. The end correction of a resonance column is 0.5 cm. If the shortest length resonating with the

tuning fork is 21cm2

, find the maximum lengths for resonance, if length of pipe is 100 cm.

(A) 59.1cm (B) 78.5cm (C) 88.5cm (D) 98.5cm 10. A ball is released from the top of a semi cylindrical surface of which

part AB is sufficiently rough and BC is smooth. Then: (A) The maximum angular velocity of the ball will be at point B only (B) The maximum speed of centre of the ball will not be at point B (C) Ball will never reach point C

A C

B (D) Ball may reach point C if friction is not sufficient to provide pure rolling. 11. A light ray falls perpendicular on one face of an equilateral prism, having refractive index 3 .

The angle of deviation is: (A) 30 (B) 60 (C) 90 (D) 120




5

12. A horizontal tube contains mercury column of length 10 cm and rest is air on both sides of it. When the tube is vertical the length of air column changes as shown in the figure. The pressure when the tube is horizontal is (Assume temperature of air remains constant)

(A) 5 210 N/m

(B) 3 22.5×10 N/m

(C) 3 20.255×10 N/m

(D) 3 225.5×10 N/m

Air Air

20cm 20cm10cm

10cm

25cm

15cm

13. An ideal gas undergoes a process A B as shown on the

pressure- temperature graph. The gas undergoes. (A) Compression (B) Expansion (C) No change in volume (D) Data insufficient

B

A

P

T 14. An object moves with velocity 0

ˆˆ ˆ10 2v i j k

in front of a plane mirror moving with velocity

ˆ5MV j

. The velocity image is:

(A) ˆˆ ˆ5 2i j k (B) ˆˆ ˆ10 2i j k

(C) ˆˆ ˆ15 2i j k (D) ˆˆ ˆ10 2i j k 15. In the experiment of simple pendulum the percentage errors in length and time period in the

measurement of acceleration due to gravity is 2% and 1% respectively. The maximum percentage error in acceleration due to gravity is:

(A) 1% (B) 2% (C) 3% (D) 4%




6

16. A capacitor 1C 1 f and 2C 2 f are charged with switch in position (1). Now switch is shifted to position (2). Capacitor 3 3C f is initially uncharged. The ratio of

potential difference on 1C and 3C is:

(A) 13

(B) 23

(C) 1 (D) 2

12V

1 2

1C

2C

3C

17. A small block is placed on a bigger block as shown in the

figure. All surfaces are frictionless and string and pulley are ideal. The acceleration of block of mass m is:

(A) F/2m (B) F/m (C) F/3m (D) 2F/m

F

2m

m

18. A current of 1 ampere is flowing on the sides of a square shaped wire frame of side16 2cm .

The magnetic field at the centre of the square will be: (A) 6 25 10 /Wb m (B) 5 25 10 /Wb m (C) 5 22.5 10 /Wb m (D) 6 22.5 10 /Wb m 19. Hysteresis loop represent energy loss per cycle. Then energy loss is: (A) More for steel than soft iron (B) More for soft iron than steel (C) Equal for both (D) None of the above




7

20. STATEMENT-1: The temperature above which ferromagnetic material becomes paramagnetic is called curie temperature.

because STATEMENT-2: Hysteresis is exhibited by ferromagnetic substance only. (A) Statement-1 is True, Statement-2 is True; Statement -2 is a correct explanation for

Statement-1. (B) Statement-1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for

Statement-1. (C) Statement -1 is True, Statement-2 is False. (D) Statement -1 is False, Statement-2 is True. 21. An astronomical telescope having focal length of objective 300 cm and of eyepiece 5 cm. It is

focused to see an object 20 km from the objective. If final image is formed at infinity, then: (A) Length of tube is 310 cm (B) Length of tube is 295 cm (C) Angular magnification is 60 (D) Angular magnification is 100 22. A screw gauge with a pitch of 0.3 mm and a circular scale with 100 divisions is used to measure

the thickness of a thin sheet of steel. What is the thickness of the sheet if main scale reading is 1mm and the 30th division coincides with the main scale line. (There is no zero error)?

(A) 1.9mm (B) 1.09mm (C) 1.1mm (D) 1.99mm 23. Radiation of certain wavelength is incident on a metal plate of work function 5eV. The stopping

potential is 2eV. Now if the wavelength is reduced 2 times, the new stopping potential will be: (A) 6 Volt (B) 9 Volt (C) 10 Volt (D) 12 Volt 24. A close loop is placed in an uniform magnetic field. The current will not be induced in the loop if

the loop: (A) Rotate (B) Translate (C) Remain stationary (D) Rolls 25. The circuit shown in the figure contains unidentical batteries and a

bulb of unknown resistance R . For the bulb to have maximum brightness

(A) Its resistance should be 1 (B) Its resistance should be 2 (C) Current through bulb should be 6 Ampere (D) Current through bulb should be 9 Ampere

8V 2V

11

3V 1V

11

R




8

26. Three identical small blocks are moving towards a wall with spacing between them and velocities as shown in the figure. Assuming all collision to be elastic. The spacing between block B and C after all possible collisions is:

AC B

2m 1m

5m/s 5m/s 5m/s

(A) 1m (B) 2m (C) 3m (D) 4m 27. A L shaped tube containing liquid of density is accelerated

horizontally with acceleration as shown in the figure. The end of tube B is closed while end A is open. If the atmospheric pressure is P0. Then the pressure at B is:

(A) 0

2P

(B) 0P

(C) 023

P (D) 02P

A

B

h

h

a g

28. A TV tower has a height of 80 m. What is the maximum distance and area upto which this TV

transmission can be received? Take radius of the earth as 66.4 10 m : (A) 22816 km (B) 22580 km

(C) 23215km (D) 23815km 29. A transistor has a current amplification factor of 100. In a CE-amplifier circuit, the collector

resistance is chosen as 10k and the input resistance is1k . The output voltage if input voltage is 0.01 :

(A) 5 Volt (B) 10 Volt (C) 15 Volt (D) 20 Volt 30. An elastic wire of length , area of cross-section A and Young’s modulus Y having left end fixed

and the other end is pulled by a constant force F, and the point of application of force is displaced by . Then:

(A) Work done by force is 2

F

(B) Elastic potential energy stored in the wire F

(C) Elastic potential energy stored in the wire 13

F

(D) Work done by force is F




9

CChheemmiissttrryy PART – II


This section contains 30 multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE option is correct. 31. Considering Ellingham diagram, which of the following metals can be used to reduce alumina? (A) Mg (B) Zn (C) Fe (D) Cu 32. Regarding cross-linked or network polymers, which of the following statements is incorrect? (A) Examples are Bakelite and melamine (B) They are formed from bi-and tri-functional monomers. (C) They contain covalent bonds between various linear polymer chains. (D) They contain strong ionic bonds in their polymer chains. 33. Which is correct about amylose and amylopectin is (A) Amylopectin have 1 4 linkage and 1 6 linkage (B) Amylose have 1 4 linkage and 1 6 linkage (C) Amylopectin have 1 4 linkage and 1 6 linkage (D) Amylose is made up of glucose and galactose 34. A mixture of 2.3 g formic acid and 4.5 g oxalic acid (anhyd.) is treated with conc. 2 4H SO . The

evolved gaseous mixture is passed through KOH pellets. Weight (in g)of the remaining gaseous product at STP will be

(A) 2 8 (B) 3 0 (C) 1 4 (D) 4 4 35. Which oxide of nitrogen is not a common pollutant introduced into the atmosphere both due to

natural and human activity? (A) 2N O (B) 2NO

(C) 2 5N O (D) NO




10

36. The compound 7 8C H undergoes the following reactions:

2 23 / / /7 8

Cl Br Fe Zn HClC H A B C

The product ' 'C is (A) 3-bromo-2, 4, 6-trichlorotoluene (B) o-bromotoluene (C) m- bromotoluene (D) p- bromotoluene 37. Which one of the following ions exhibits d-d transition and paramagnetism as well? (A) 4MnO (B) 2

2 7Cr O

(C) 24CrO (D) 2

4MnO

38. For an ideal gas p

dUdT

equals to:

(A) VC (B) S

(C) G (D) H 39. Iron exhibits BCC structure at room temperature. At 900 C and above, it transforms to FCC

structure. The ratio of density of iron at room temperature to that at 900 C (assuming molar mass and atomic radii of iron remains constant with temperature) is.

(A) 3 34 2

(B) 4 33 2

(C) 32

(D) 12

40. For an isothermal process for an ideal gas, ΔU is equal to: (A) Adiabatic work (B) Isothermal work (C) Isochoric work (D) Isobaric work 41. For the Tyndal effect which is incorrect: (A) The diameter of the dispersed particle is not much smaller than the wave length of light used. (B) The refractive indices of the dispersed phase and dispersion medium differ in great magnitude (C) Information about the size of colloidal particle can’t be obtained by ultra microscope. (D) None of the above




11

42. 2 4 64P s,white 3O g P O s H x

2 4 64P s,red 3O g P O s H y

4 6 2 4 10P O s +2O ( ) P O s ΔH°=zg

The standard enthalpy of formation of 4 10 sP O at 298 K will be:

(A) x+z (B) y+z (C) x+y-z (D) x-y+z 43. Which of the following statements about LDP is false? (A) Its synthesis requires high pressure (B) It is poor conductor of electricity (C) Its synthesis requires dioxygen or a peroxide initiator as catalyst (D) Its used in the manufacture of buckets dustbin etc. 44. Distillation technique is most suitable for separating glycerol from spent lye in soap industry is: (A) Simple distillation (B) Fractional distillation (C) Steam distillation (D) Distillation under reduced pressure. 45. The phosphorous in +3 oxidation state is: (A) Orthophosphorous acid and Pyrophosphorous acid (B) Pyrophosphorous acid and Hypophosphorous acid (C) Orthophosphorous acid and Hypophosphoric acid (D) Pyrophosphorous acid and Pyrophosphoric acid 46. Dilute solution of KOH reacts with 2I and forms:

(I) KI (II) 3KI

(III) KIO (A) ,II II (B) ,I III (C) I (D) , ,I II III




12

47.

H

Me

CH2 + NBS six procucts:

Which of the following statements is incorrect about products? (A)

H

CH3

CH2Br , H

Me

CH2Br are two possible products.

(B)

H

Me

CH2H

Br

, H

CH3

CH2

H

Br are other two possible products.

(C)

H

Me

CH2

H

Br , H

CH3

CH2

Br

H are other two possible products.

(D)

H

Me

CH2

Br

H , H

Br Me

HCH2 are other two possible products.




13

48. 0.32g of 2CaC reacts with water produces gas X. The gas X combination with 2O produce

2CO . The volume of 2CO at STP:

(A) 112mL (B) 484mL (C) 224mL (D) 448mL 49. Which of the following combination of atomic orbitals result into non-bonding?

A

B

C

D




14

50. Consider the Vander Waal’s equation of state 2

ap V b RTV

correct statements is:

(A) Value of ' 'a of 2N is larger than that of 3NH due to higher molecular weight of 2N

(B) Gas ' 'A has Vander Wall’s constants ' 'a 2 2/L atm mol and ' ' /b L mol as 7 and

24.98 10 , this gas cannot be liquid at temperature 200 C however high pressure may be applied.

(C) At high pressure above equation reduces to 1 bZRTV

(D) If 1,Z attractive forces are dominating among the gaseous molecules 51. While testing 3

3BO , there is green-edges flame on heating the salt with conc. 2 4H SO and

3CH OH . Green colour is of

(A) 3 3CH B (B) 3 3CH O B

(C) 2 3B O (D) 3 3H BO 52.

CH

COOH

(CH2)3

CH2

NH3

NH3

Lysine has a,1 a,2 a,3pK , pK ,pK values 2, 9 and 11 respectively. Then value of its isoelectric point

isoelectricpH is:

(A) 7.22 (B) 5.565 (C) 6.355 (D) 10




15

53. O

+NH

2 2/' ' ' 'Ph CH Cl H H Omild acidicconditions A B C D

enamine

The incorrect statement about various organic products in above sequence is:

(A) NA is

(B)

N+

CH2Ph

Bis Cl

(C)

CH2Ph

OCis

(D) D is N OH

54. An orange coloured compound (A) when treated with NaCl & conc. 2 4H SO gives red brown

vapour B . This vapour when passed through NaOH gives yellow coloured solution C . On

addition of 3CH COOH and 3 2CH COO Pb to this yellow solution, yellow colored ppt D is

obtained. Which of the following compound is not resemble with above information: (A) 'A' is 2 2 7K Cr O (B) 'B' is 2 2CrO Cl

(C) 'C' is 2 4Na CrO (D) 'D' is 2PbCl 55. A current of 0.55Amp deposits 0.55gm of a metal in 100 minutes. Calculate atomic mass of

the metal if equivalent weightM.W.=

2?

(A) 100 (B) 45 (C) 32.35 (D) 144.75




16

56. Consider following transformation

2

2 xCo H O

(Pink complex) Excess

yHCl CoCln

(Blue complex)

Find the value of expressionx y

n

.

(A) 5 (B) 8 (C) 10 (D) 7 57. Total number of stereoisomers of the compounds

CH3 CH CH CH CH CH CH3

OH

is:

(A) 2 (B) 3 (C) 4 (D) 8 58. 3 2AgNO W X O

2 2 3X H O HNO HNO

3 2W HNO Y+NO+H O

2 2 3 3Y Na S O NaNOexcess Z Identify (W) to (Z). (A) 2 3 2 2 3 2

Ag S OW Ag X N O Y AgNO Z Na

(B) 2 3 2 2 3 2Ag S OW AgO X NO Y AgNO Z Na

(C) 2 3 3 2 3 2Ag S OW Ag X NO Y AgNO Z Na

(D) 2 2 3 2 2 3 2Ag S OW Ag O X N Y AgNO Z Na




17

59. Which of the following statements is/are correct? (i) Sulphur solution is an example of macro molecular colloid. (ii) Adsorbent used in gas masks is activated charcoal (iii) AgI is used for producing artificial rain by seeding because AgI has crystal structure similar

to ice. (iv) Alums purify muddy water by coagulation of colloidal sized clay & sand. (v) Physisorption occurs because of van der Waals forces. (vi) More easily liquefiable gases are adsorbed readily. (For physisorption) (vii) Under high pressure it results into multimolecular layer on adsorbent surface.

(For physisorption) (viii) Enthalpy of physisorption adsorption ( adsorptionΔH ) is low and positive. (A) 6 (B) 7 (D) 8 (D) 5 60. When a liquid that is immiscible with water was steam distilled at 95.2°C at a total pressure of 748

torr, the distillate contained 1.25 g of the liquid per gram of water. The vapour pressure of water is 648 torr at 95.2°C, what is the molar mass of liquid?

(A) 8g/mol (B) 166g/mol

(C) 146g/mol (D) None of these




18

MMaatthheemmaattiiccss PART – III


This section contains 30 multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE option is correct.

61. If f(x) = sin4x + cos4x 12

sin2x, then the range of f(x) is

(A) 30 ,2

(B) 1 7,2 2

(C) 90 ,8

(D) 3 7,4 8

62. The value of 7

r 1

rcos15

is

(A) 164

(B) 1128

(C) 132

(D) 14

63. The exhaustive intervals of real values of x such that 12 4x 1 4x 4 is

(A) 31 311 ,18 8

(B) 311,18

(C) 1, 3 (D) 311,18

64. If P = 2 2

21

x 1 x 1 dxx 1 x 1

and Q =

2

21

x dxx 1 1

then P

Q is equal to

(A) 2ln5

(B) 23

(C) 12

(D) 1




19

65.

x

2 x

e x 2

x x e

x > 0 is equal to

(A) x

2eln 1 cx

(B)

x

21 eln c2 x

(C) x

2eln 2 cx

(D)

x

2eln x cx

66. The number of positive 6 digit integers such that the sum of their digits is 9 and four of its digits

are 1, 0, 0, 5 is (A) 60 (B) 120 (C) 180 (D) 210 67. Consider the parabola x2 + 4x 2y + 6 = 0. If its chord AB 2mx 2y + (4m + 3) = 0 intersect its

axis at K and directrix at M, then AM, KM and BM are in (A) A.P (B) G.P (C) H.P (D) none of these

68. 2x2013

3xx

x 2lim cosxe

is

(A) 0 (B) e3

(C) e2 (D) e2 69. If a, b, c denotes the sides of a ABC and a + b c = 2 and 2ab c2 = 4, then

(A) sinA + sinB + sinC < 3 32

(B) cosA + cosB + cosC = 1

(C) a b c 3 3b c a (D) a2 + b2 + c2 = 12

70. If cos1x + cos1y + cos1z = , then the value of

2 2 2

2 2 2

xy 1 z yz 1 x zx 1 y

1 x 1 y 1 z

is equal to

(A) 0 (B) 1 (C) 2 (D) 3




20

71. If , ( < ) are the roots of the equation g(x) = ax2 + bx + c = 0 and f(x) be an even function,

then

g(x)fx

g(x)g(x) ffxx

e dx

e e

is equal to

(A) 12

(B) 2 212

(C) 12

(D) 0

72. The equation x2 + (1 22013) x + 22012(22012 1) 2 = 0 have roots and then the value of

( )2014 is (A) (22012 1)1007 (B) (3)4018

(C) 32014 (D) (2)1007 73. The value of nC1 + 32 nC3 + 52 nC5 + ……. is (A) (n 1)2n1 (B) n(n + 1)2n3 (C) n(n + 2)2n2 (D) n(n + 1) (n + 2)2n4 74. If (1 + 3 + 5 + ….. + p) + (1 + 3 + 5 + …. + q) = (1 + 3 + 5 + ….. r) where each set contains the

sum of consecutive odd integers then the smallest possible value of p + q + r is (A) 23 (B) 21 (C) 29 (D) 31

75. Let A = {(x y) : x + y = p}, B = {(x, y) : x3 + y3 < p} be two sets such that A B = for any real

number p, then the exhaustive intervals of p is (A) [2, 2] (B) {0} [2, ) (C) (, 2] {0} (D) {x! x N x 3} 76. Let C be incircle of ABC, if tangents are drawn parallel to the sides of the such that t1, t2, t3 be

the lengths of tangents which lie inside the given triangle parallel to sides a, b, c respectively the 31 2 tt t

a b c is equal to

(A) 0 (B) 1 (C) 2 (D) 3




21

77. The value of n n n n n0 1 2 3 4C C 5 C 11 C 17 C ..........(n 1) terms

(A) n3n 5 2 n 7 (B) n3n 7 2 2n 8 (C) n2n 3 2 11 (D) n n2 3 5 7 78. Let x + y - z – 4 = 0 be the equation of plane and A be a point (1, 2, –3). If line L passes through

(1, 2, 3) with direction ratios 3 : –1 : 4. If distance of A from line measured parallel to the plane is

d1 and if distance of the plane measured parallel to line is d2 then 2 21 2d d is

(A) 1 (B) 5 (C) 3 (D) 10 79. If a1x3 + b1x2 + c1x + d1 = 0 and a2x3 + b2x2 + c2x + d2 = 0 have a pair of common positive

repeated roots. If the value of 1 1 1

2 2 2

2 1 1 2 1 2 2 1 1 2 2 2

3a 2b c3a 2b ca b a b c a c a d a a d

is

(A) 3 (B) 2 (C) 1 (D) 0 80. A random variable X has the following probability distribution values of X

X: 0 1 2 3 4 5 6 7 P(X): 0 k 2k 2k 3k k2 2k2 7k2 + k

then which is true

(A) k 1 10P(x 6) 81

(B)

P 0 x 5 81P x 6 19

(C) k 1 2

P x 6 23

(D)

P 0 x 4 4P x 6 493

81. If x

t

0

f x e 3 dt , then which of the following is always true x R

(A) f(x 3) f(x 1) 11 (B) f(x + 1) f(x 1) < 4 (C) f(x + 3) f(x 5) > 24 (D) f(x) + f(x + 1) < 21




22

82. Consider f : R+ R such that f(3) = 1 for a R+ and f(x).f(y) + f 3 3fx y

= 2f(xy) x, y R+,

then f(97) can be (A) 1 (B) –1 (C) 2 (D) 97

83. If , , , be first 4 positive solutions of sin x = 14

with < < < , then value of

sin 2sin 3sin 4sin2 2 2 2 is

(A) 5 (B) 2 5

(C) 34

(D) 54

84. If e1 and e2 are the roots of the equation x2 ax + 2 = 0 where e1, e2 are the eccentricities of an

ellipse and hyperbola respectively then the value of a belongs to (A) (3, ) (B) (2, ) (C) (1, ) (D) (, 1) (1, 2) 85. If domain of f(x) is [1, 3], then find the domain of f(log2 (x2 + 3x 2))

(A) [–5, –4] [1, 2] (B) [–13, –2] 3 , 52

(C) [–4, 1] [2, 7] (D) [–3, 2] 86. ABC is inscribed in a unit circle such that three internal angle bisectors of ABC are extended to

intersect circumcircle at P, Q, R respectively then maximum value of A B CAPcos BQ CRcos2 2 2

is equal to (A) 3 (B) 3 3

(C) 32

(D) 1




23

87. If f : R R such that 3 25f(x)

lx x x m

then (l, m) can be

(A) (1, 2) (B) (0, 1)

(C) (0, –3) (D) 33, 2

88. For any complex number z in the argand plane, the minimum value of

i i i iz z e z 5e z 7e z 32e is

(A) 22 (B) 32 (C) 38 (D) 42 89. Let A = {1, 2, 3}, then the relation R = {(1, 1), (1, 2), (2, 1)} on A is (A) reflexive (B) transitive (C) symmetric (D) none of these 90. A flag staff of 5 m height stands on a building 25 m high. At an observer at a height of 30 m, the

flag staff and the building subtend equal angles. The distance of the observer from the top of flag staff is

(A) 5 32

(B) 352

(C) 23

(D) 53


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FULL TEST – V